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Finding the Fourth Proportional to 355.77, 534.78 and 353.70

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Solution

The fourth proportional to 355.77, 534.78 and 353.70 is: 531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.77 : 534.78 = 353.70 : x
  2. Step 2: Convert to fraction form
    355.77/534.78 = 353.70/x
  3. Step 3: Cross multiply
    355.77x = 534.78 × 353.70
  4. Step 4: Simplify right side
    355.77x = 189,151.69
  5. Step 5: Solve for x
    x = 189,151.69/355.77
  6. Step 6: Final answer
    x = 531.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.